Compute the entire stabilizing PID parameter values. While the 2nd order Pade approximation fails to capture the actual stabilizing set, the 3rd and 5th order Pade approximations apparently do a better job. For small values of the time-delay, the approximate sets easily converge to the possible true sets.

2023年2月21日 · 现在在做一个PID系统，系统采样后进行数字滤波，通过数字滤波后存在延时，PID应该怎么处理这些数据，是下个时刻输入延时之后的数据还是输入延时前的数据?… 在科研的路上，留给大龄二次元的时间不多了。 （为什么？ 现在在做一个PID系统，系统采样后进行数字滤波，通过数字滤波后存在延时，PID应该怎么处理这些数据，是下…

In this article, we study delay robustness of PID controllers in stabilizing systems containing uncertain delays. We consider second-order systems and seek analytical characterization and exact computation of the PID delay margin, where by PID delay margin we mean the maximal range of delay values within which the system can be robustly ...

This book is a systematic presentation of many important aspects of the authors’ work on PID control with emphasis on time-delay systems. The book describes the set of PID controllers that stabilize the system and explains how to use this set to design PID controllers that achieve robustness, nonfragility, and improved performance….

This paper considers the design of PID controllers for systems with varying time-delays. Using the concept of jitter margin combined with the AMIGO tuning rule methodology, novel tuning rules that are robust to varying time-delays are derived.

2017年7月1日 · This paper presents a new linear matrix inequality (LMI) based control strategy for second-order systems with time-varying delay based on a modified Smith predictor with a proportional-integral-derivative (PID) controller.

2006年4月6日 · The book deals with the problem of stabilizing a given plant with time-delay by PID controllers, i.e. the computation of the entire set of (kp, ki, kd) values which make the closed-loop system stable.

2018年7月5日 · In this paper, we develop explicit expressions of the exact delay margin and its upper bounds achievable by a PID controller for low-order delay systems, notably the first- and second-order unstable systems with unknown constant and possibly time-varying delays.

PID controller presents vigorous and dependable presentation for most of the systems if the PID parameters are regulated correctly [6]. Several delay-independent enough situations for the asymptotic steadiness of neutral delay differential systems have been used [17].

2022年4月3日 · This chapter concerns the delay margin achievable using PID controllers for linear time-invariant (LTI) systems subject to variable, unknown time delays. The basic issue under investigation addresses the question: What is the largest range of time delay so that there...